Numerical Integration. The following set of problems relates to performing numerical integration using the trapezoidal rule.
Write a program that estimates the integral of a function where the function is represented by a collection of experimental data points stored in a file rather than by an equation. The file contains a set of x-coordinates that represent the trapezoid base values and the y-coordinates that represent the heights of the trapezoids. Note that the number of data points determines the number of trapezoids. You must recalculate the base of the trapezoid for each new pair of data points because you cannot assume that all of the x-coordinates are equally spaced across the interval.
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